Question

(xy)^1/4(x^2y^2)^1/2 over(x^2y)^3/4

Answer 1

x^1/2y^1/2

Answer 2

(xy)^1/4(x^2y^2)^1/2 over(x^2y)^3/4

since (x^2y^2)^1/2 = xy,

= x^(5/4) y^(5/4) / x^(6/4) y^(3/4)
= y^(2/4)/x^(1/4)
= √y/∜x

Better double check the algebra. either Alyonka or I (or both) made a mistake.